where the final inequality follows from the fact that \(\mathsf {FC}\le \mathsf {MM}^2\)[1]} and \(\mathsf {s}\le \lambda ^2\le \mathsf {MM}^2\) .
The biggest separation between \(\mathsf {CG}\)  and \(\mathsf {MM}\)  in this direction is cubic: there is a total Boolean function \(f\)  for which \(\mathsf {CG}(f) \le \Omega (\mathsf {EC}(f)^{3/2})\) . In [2]} they constructed a “pointer function" \(g\) , for which \(\mathsf {R}_0(g) = \Omega (\mathsf {Q}(g)^3)\) . We observe that, for the pointer function,
\(\mathsf {CG}(g) \ge \Omega (\mathsf {R}_0(g)) \ge \Omega (\mathsf {Q}(g)^3) \ge \Omega (\mathsf {MM}(g)^3),\) 
